10490020992000 has 3520 divisors, whose sum is σ = 46292819189760. Its totient is φ = 2335039488000.

The previous prime is 10490020991999. The next prime is 10490020992007. The reversal of 10490020992000 is 29902009401.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a super-2 number, since 2×10490020992000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10490020992007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 101844863949 + ... + 101844864051.

It is an arithmetic number, because the mean of its divisors is an integer number (13151369088).

Almost surely, 2^{10490020992000} is an apocalyptic number.

10490020992000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10490020992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23146409594880).

10490020992000 is an abundant number, since it is smaller than the sum of its proper divisors (35802798197760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10490020992000 is a wasteful number, since it uses less digits than its factorization.

10490020992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 10490020992000 in words is "ten trillion, four hundred ninety billion, twenty million, nine hundred ninety-two thousand".